If x= sin^(-1)(3t-4t^(3)) and y=cos^(-1)...

If `x= sin^(-1)(3t-4t^(3))` and `y=cos^(-1)(sqrt(1-t^(2)))`, then `(dy)/(dx)` is equal to

A

`1//2`

B

`2//5`

C

`3//2`

D

`1//3`

Verified by Experts

The correct Answer is:

D

Similar Questions

Explore conceptually related problems

If =sin^(-1)(3t-4t^(3)),y=cos^(-1)(8t^(4)-8t^(2)+1) then (dy)/(dx)=

If x=cos ^(-1) (4t^(3) -3t) ,y =tan ^(-1)((sqrt( 1-t^(2)))/( t)),then (dy)/(dx)=

If x=(1-t^(2))/(1+t^(2)) and y=(2t)/(1+t^(2)) , then (dy)/(dx) is equal to

If x=a(t-sin t),y=a(1-cos t), then (dy)/(dx) is equal to

If x=sin^(-1)((t)/(sqrt(1+t^(2)))),y=cos^(-1)((1)/(sqrt(1+t^(2)))),"show that "(dy)/(dx)=1

If x=cos^(-1)t,y=log(1-t^(2))," then "((dy)/(dx))" at "t=(1)/(2) is

if sqrt(x^(2)+y^(2))=e^(t) where t=sin^(-1)((y)/(sqrt(x^(2)+y^(2)))) then (dy)/(dx) is equal to

If x=sqrt(2^(cosec^(-1_t))) and y=sqrt(2^(sec^(-1_t))) (|t|ge1) then (dy)/(dx) is equal to.